Matrix Transformations and Disk of Convergence in Interpolation Processes

Let denote the set of functions analytic in but not on . Walsh proved that the difference of the Lagrange polynomial interpolant of and the partial sum of the Taylor polynomial of converges to zero on a larger set than the domain of definition of . In 1980, Cavaretta et al. have studied the extension of Lagrange interpolation, Hermite interpolation, and Hermite-Birkhoff interpolation processes in a similar manner. In this paper, we apply a certain matrix transformation on the sequences of operators given in the above-mentioned interpolation processes to prove the convergence in larger disks.

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Matrix transformations and Walsh's equiconvergence theorem

International Journal of Mathematics and Mathematical Sciences ◽

10.1155/ijmms.2005.2647 ◽

2005 ◽

Vol 2005 (16) ◽

pp. 2647-2653 ◽

Cited By ~ 1

Author(s):

Chikkanna R. Selvaraj ◽

Suguna Selvaraj

Keyword(s):

Matrix Transformation ◽

Matrix Transformations ◽

Large Disk ◽

Complex Sequences ◽

Equiconvergence Theorem ◽

The Difference

In 1977, Jacob definesGα, for any0≤α<∞, as the set of all complex sequencesxsuch that|xk|1/k≤α. In this paper, we applyGu−Gvmatrix transformation on the sequences of operators given in the famous Walsh's equiconvergence theorem, where we have that the difference of two sequences of operators converges to zero in a disk. We show that theGu−Gvmatrix transformation of the difference converges to zero in an arbitrarily large disk. Also, we give examples of such matrices.

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The Distinction between [P] and [S]

10.23943/princeton/9780691161006.003.0018 ◽

2017 ◽

Author(s):

Galen Strawson

Keyword(s):

Personal Identity ◽

Radical Change ◽

Legal Responsibility ◽

The Difference ◽

Definition Of ◽

Over Time

This chapter examines the difference between John Locke's definition of a person [P], considered as a kind of thing, and his definition of a subject of experience of a certain sophisticated sort [S]. It first discusses the equation [P] = [S], where [S] is assumed to be a continuing thing that is able to survive radical change of substantial realization, as well as Locke's position about consciousness in relation to [P]'s identity or existence over time as [S]. It argues that Locke is not guilty of circularity because he is not proposing consciousness as the determinant of [S]'s identity over time, but only of [S]'s moral and legal responsibility over time. Finally, it suggests that the terms “Person” and “Personal identity” pull apart, in Locke's scheme of things, but in a perfectly coherent way.

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L'anglicisme dans la langue française

Digital Press Social Sciences and Humanities ◽

10.29037/digitalpress.43286 ◽

2019 ◽

Vol 3 ◽

pp. 00013

Author(s):

Danny Susanto

Keyword(s):

English Language ◽

Oil Industry ◽

English Word ◽

Public Institutions ◽

Font Size ◽

The World ◽

French Speaking ◽

The Difference ◽

Definition Of ◽

Bibliographic Study

The purpose of this study is to analyze the phenomenon known as “anglicism”: a loan made to the English language by another language. Anglicism arose either from the adoption of an English word as a result of a translation defect despite the existence of an equivalent term in the language of the speaker, or from a wrong translation, as a word-by-word translation. Said phenomenon is very common nowadays and most languages of the world including making use of some linguistic concepts such as anglicism, neologism, syntax, morphology etc, this article addresses various aspects related to Anglicisms in French through a bibliographic study: the definition of Anglicism, the origin of Anglicisms in French and the current situation, the areas most affected by Anglicism, the different categories of Anglicism, the difference between French Anglicism in France and French-speaking Canada, the attitude of French-speaking society towards to the Anglicisms and their efforts to stop this phenomenon. The study shows that the areas affected are, among others, trade, travel, parliamentary and judicial institutions, sports, rail, industrial production and most recently film, industrial production, sport, oil industry, information technology, science and technology. Various initiatives have been implemented either by public institutions or by individuals who share concerns about the increasingly felt threat of the omnipresence of Anglicism in everyday life.

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Identity, Community and Belonging in gcc States

Sociology of Islam ◽

10.1163/22131418-00604004 ◽

2018 ◽

Vol 6 (4) ◽

pp. 401-428

Author(s):

Miriam R. Lowi

Keyword(s):

Religious Affiliation ◽

Protective Role ◽

The Other ◽

National Project ◽

Scholarly Literature ◽

National Community ◽

The Difference ◽

Definition Of

Studies of identity and belonging in Gulf monarchies tend to privilege tribal or religious affiliation, if not the protective role of the ruler as paterfamilias. I focus instead on the ubiquitous foreigner and explore ways in which s/he contributes to the definition of national community in contemporary gcc states. Building upon and moving beyond the scholarly literature on imported labor in the Gulf, I suggest that the different ‘categories’ of foreigners impact identity and the consolidation of a community of privilege, in keeping with the national project of ruling families. Furthermore, I argue that the ‘European,’ the non-gcc Arab, and the predominantly Asian (and increasingly African) laborer play similar, but also distinct roles in the delineation of national community: while they are differentially incorporated in ways that protect the ‘nation’ and appease the citizen-subject, varying degrees of marginality reflect Gulf society’s perceptions or aspirations of the difference between itself and ‘the other(s).’

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Charge-Transfer Dipoles at the Si-SiO2 Interface and the Metal-Semiconductor Worfunction Difference In Mos Devices.

MRS Proceedings ◽

10.1557/proc-105-265 ◽

1987 ◽

Vol 105 ◽

Cited By ~ 3

Author(s):

Hisham Z. Massoud

Keyword(s):

Dipole Moment ◽

Charge Transfer ◽

Dipole Moments ◽

Silicon Substrates ◽

Interface Dipole ◽

Mos Devices ◽

Flatband Voltage ◽

The Difference ◽

Definition Of ◽

Mos Structures

AbstractThe magnitude of the dipole moment at the Si-SiO2 interface resulting from partial charge transfer that takes place upon the formation of interface bonds has been calculated. The charge transfer occurs because of the difference in electronegativity between silicon atoms and SiO2 molecules which are present across the interface. Results obtained for (100) and (111) silicon substrates indicate that the magnitude of the interface dipole moment is dependent on substrate orientation and the interface chemistry. Dipole moments at the Si-SiO2 and gate-SiO2 interfaces should be included in the definition of the flatband voltage VFB of MOS structures. CV-based measurements of the metal-semiconductor workfunction difference φms on (100) and (111) silicon oxidized in dry oxygen and metallized with Al agree with the predictions of this model. Other types of interface dipoles and their processing dependence are briefly discussed.

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India-2021: Middle class in pandemic conditions

Азия и Африка сегодня ◽

10.31857/s032150750016839-4 ◽

2021 ◽

pp. 14

Author(s):

Elena A. Bragina

Keyword(s):

Developing Countries ◽

Middle Class ◽

Gradual Increase ◽

Population Group ◽

Special Significance ◽

Statistical Estimates ◽

National Characteristics ◽

The Difference ◽

Definition Of ◽

Sociological Studies

The article analyzes the conditions for the formation of the middle class in India. Shown is its important balancing role in the politics and economy of the country. The nature of the definition of "middle class", its special significance in developing countries is considered. Due to the difference in the applied criterion - the initial unit of account (employee, family, population group), due to the weakness of statistical services, the results of sociological studies, statistical estimates of the size of the middle class are often approximate. The work shows that the official and infor-mal (shadow) parts of the middle class coexist in the economies of developing countries in parallel. The pressure of the COVID-19 pandemic on the development of the Indian middle class is taken into account. The article examines the national characteristics of the formation of the middle class inherent in India. Due to the unclear definition of the criteria, the inconsistency of its assessments, the insufficient level of work of statistical organizations, information on the size of the middle class is inaccurate (according to various estimates, about 210-360 million people). Attention is paid to the formation of the rural middle class in India, rural residents make up a significant part of it (estimated at 48-66%).The forecast of the recovery of the Indian middle class ispresented. It is assumed that its quantitative growth, which was observed before the pandemic, and a gradual increase in influence will continue and will allow in the future. The topic is relevant, in demand by the Russian reader.

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PENGELOLAAN SAMPAH BERBASIS MASYARAKAT DI DESA PAKRAMAN PADANGTEGAL KECAMATAN UBUD KABUPATEN GIANYAR

ECOTROPHIC Jurnal Ilmu Lingkungan (Journal of Environmental Science) ◽

10.24843/ejes.2019.v13.i02.p08 ◽

2019 ◽

Vol 13 (2) ◽

pp. 205

Author(s):

I Putu Juniartha ◽

Made Antara ◽

I Made Sudarma

Keyword(s):

Waste Management ◽

Public Perception ◽

Tourism Industry ◽

Management Process ◽

Glass Waste ◽

The People ◽

The Difference ◽

The Government ◽

Inorganic Waste ◽

Definition Of

The results of this study indicate: (1) Characteristics of waste in Pakraman Padangtegal Village consisted of 83.88% organic waste, 7.24% plastic waste, 4.42% paper waste, 2.22% bottle waste, glass waste at 1.28% and metal waste at 0.96%; (2) public perception in waste management in Pakraman Village, Padangtegal that most of the people in Pakraman Village, Padangtegal, already know about the definition of waste and the danger of waste if it is not managed properly. Besides that the community also knows the difference between organic and inorganic waste so that the process of sorting waste in the place provided can run well, and the community's perception of waste management services has gone well with the transportation of waste twice a day; (3) the participation of the Pakraman Padangtegal Village community in waste management has played a role in various stages of waste management, starting from the sorting, garbage collection and garbage disposal, which complies with waste regulations and maintains the quality of the environment in Padangtegal Pakraman Village. The participation of the tourism industry in the process of waste management in Pakraman Village, Padangtegal, can be seen as being involved in the process of sorting waste and paying monthly fees and waste fees. The community participation in the waste management process is to help the government to socialize the waste management process by carrying out waste collection activities every week and provide a place for the waste management process. Suggestions in this study are that waste managers will immediately add facilities and infrastructure for waste transportation and accelerate the expansion of waste management in the village of Pakraman Padangtegal. Keywords: Waste Management System, Pakraman Village

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Guidelines for potentiometric measurements in suspensions Part B. Guidelines for practical pH measurements in soil suspensions (IUPAC Recommendations 2006)

Pure and Applied Chemistry ◽

10.1351/pac200779010081 ◽

2007 ◽

Vol 79 (1) ◽

pp. 81-86 ◽

Cited By ~ 8

Author(s):

Srecko F. Oman ◽

M. Filomena Camões ◽

Kipton J. Powell ◽

Raj Rajagopalan ◽

Petra Spitzer

Keyword(s):

Reference Electrode ◽

Operational Definition ◽

Indicator Electrode ◽

Liquid Junction ◽

Cell Potential ◽

Technical Report ◽

Potentiometric Measurements ◽

Suspension Effect ◽

The Difference ◽

Definition Of

The measured cell potentials for suspension potentiometric cells have been interpreted and explained by a detailed analysis of the schemes for these cells ["Guidelines for potentiometric measurements in suspensions. Part A. The suspension effect (IUPAC Technical Report", Pure Appl. Chem.79, 67 (2007)]. Some former disagreements amongst investigations have been clarified. A new unambiguous operational definition of the suspension effect (SE) is presented. It is defined as the difference in cell potential for two suspension potentiometric cells, one with both electrodes in the separated equilibrium solution (eqs) and the other with both electrodes in the sediment or suspension. This potential difference is the sum of the change in the indicator electrode (IE) potential and the change in the liquid junction potential of the reference electrode (RE), when the electrodes are used for measurement, once in the sediment of the suspension and then in its eqs.

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The notion and meaning of interdisciplinarity in the studies of art and media

SAJ - Serbian Architectural Journal ◽

10.5937/saj1202196d ◽

2012 ◽

Vol 4 (2) ◽

pp. 196-211

Author(s):

Nikola Dedić

Keyword(s):

Social Sciences ◽

Art History ◽

Media Theory ◽

Cultural Meaning ◽

Avant Garde ◽

Linguistic Turn ◽

Elite Culture ◽

Interdisciplinary Approaches ◽

The Difference ◽

Definition Of

This text attempts to mark the difference between traditional, modern, monodisciplinary and contemporary interdisciplinary approaches within the analysis of reception of media and artistic contents. Monodisciplinary approaches are connected with the classical basis of humanistic and social sciences which are related to the definition of culture based on opposition between mass and elite culture (art). Avant-garde and linguistic turn within social sciences in the 60s realized re-evaluation of the notion of culture-culture is not seen anymore as a sum of elite products of human spirit but rather as a production of cultural meaning, i.e. as a discourse. This turn enabled interdisciplinary turn within the sciences as aesthetics and art history and also enabled the emergence of contemporary interdisciplinary media theory.

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Estimates of Prevalence of Pulmonary Hypertension according to Different International Definitions

Canadian Respiratory Journal ◽

10.1155/2021/1385322 ◽

2021 ◽

Vol 2021 ◽

pp. 1-8

Author(s):

Richa Tyagi ◽

Surya Kant ◽

Akshyaya Pradhan ◽

Anupam Wakhlu ◽

Darshan Kumar Bajaj ◽

...

Keyword(s):

Pulmonary Hypertension ◽

Troponin T ◽

Chronic Respiratory Disease ◽

Cross Sectional Study ◽

Cross Sectional ◽

The Difference ◽

Considerable Morbidity ◽

One Year ◽

Definition Of ◽

Dreaded Disease

Background. Pulmonary hypertension is a dreaded disease associated with considerable morbidity and mortality. The pulmonary hypertension developing due to chronic respiratory disease is a unique subset with symptoms often getting masqueraded by the underlying respiratory condition. The importance of early detection of this complication has been realized worldwide, and recently, the definition of pulmonary hypertension was revised to set the cutoff of mean pulmonary artery pressure (mPAP) at 20 mmHg instead of 25 mmHg at rest. In our study, we have tried to estimate the difference this new definition brings to the prevalence of pulmonary hypertension among interstitial lung disease patients at our centre. Methods. This was a cross-sectional study in which all the patients of ILDs (n = 239) attending the outdoor and indoor Department of Respiratory Medicine, King George’s Medical University, India, for the duration of one year were subjected to transthoracic echocardiography along with measurement of serum pro-B-type natriuretic peptide (BNP) and troponin T values. The data were analyzed using the different definitions, and the prevalence was compared. Result. Incidence of pulmonary hypertension among ILD patients at mPAP cutoff ≥ 25 was 28.9%, while that at value ≥20 mmHg, incidence of pulmonary hypertension increased to 46.0%. An increment of 15–20% in incidence of pulmonary hypertension was observed among different types of ILD when cutoff of mPAP was changed. Conclusion. The new definition helps in a significant increase in the detection of pulmonary hypertension, which certainly helps in earlier detection and better management of patients.

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